Understanding the Only Run If Feature and AI Enrichment Dependencies

Question on the "Only run if" feature... If I set "Only run if" to depend on the existence of a value in a separate column (which uses Claygent as an AI enrichment), does that ensure that the enrichment will only run after the AI enrichment has completed? Confirming this because my goal is to have a column which only runs after another column has finished running. Thanks 🙏